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Finding the Fourth Proportional to 339,286.80, 509,432.40 and 189,825.60

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Solution

The fourth proportional to 339,286.80, 509,432.40 and 189,825.60 is: 285,019.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,286.80 : 509,432.40 = 189,825.60 : x
  2. Step 2: Convert to fraction form
    339,286.80/509,432.40 = 189,825.60/x
  3. Step 3: Cross multiply
    339,286.80x = 509,432.40 × 189,825.60
  4. Step 4: Simplify right side
    339,286.80x = 96,703,310,989.44
  5. Step 5: Solve for x
    x = 96,703,310,989.44/339,286.80
  6. Step 6: Final answer
    x = 285,019.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.